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2228122391040 = 29345713231293
BaseRepresentation
bin100000011011000110011…
…100011001001000000000
321220000011200101000120000
4200123012130121020000
5243001143313003130
64423330231320000
7316655643556230
oct40330634311000
97800150330500
102228122391040
11789a3a003677
122bb9a9820000
13132159c54600
1479bad89dcc0
153ce5a2e2260
hex206c6719200

2228122391040 has 2400 divisors, whose sum is σ = 10229411275776. Its totient is φ = 453391810560.

The previous prime is 2228122391029. The next prime is 2228122391057. The reversal of 2228122391040 is 401932218222.

It is a happy number.

2228122391040 is a `hidden beast` number, since 2 + 228 + 1 + 2 + 2 + 391 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2228122390986 and 2228122391004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7604513134 + ... + 7604513426.

Almost surely, 22228122391040 is an apocalyptic number.

2228122391040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228122391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114705637888).

2228122391040 is an abundant number, since it is smaller than the sum of its proper divisors (8001288884736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2228122391040 is a wasteful number, since it uses less digits than its factorization.

2228122391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 2228122 and 391040, that added together give a palindrome (2619162).

The spelling of 2228122391040 in words is "two trillion, two hundred twenty-eight billion, one hundred twenty-two million, three hundred ninety-one thousand, forty".